Non-uniqueness of the natural and projectively equivariant quantization
Abstract
In [3], the authors showed the existence and the uniqueness of a sl(m+1,\R)-equivariant quantization in the non-critical situations. The curved generalization of the sl(m+1,\R)-equivariant quantization is the natural and projectively equivariant quantization. In [1] and [7], the existence of such a quantization was proved in two different ways. In this paper, we show that this quantization is not unique.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- June 2006
- DOI:
- 10.48550/arXiv.math/0606549
- arXiv:
- arXiv:math/0606549
- Bibcode:
- 2006math......6549R
- Keywords:
-
- Mathematics - Differential Geometry;
- 53B05;
- 53B10;
- 53D50;
- 53C10
- E-Print:
- 7 pages